The explicit formula for the arithmetic sequence is -20n + 30
Arithmetic sequence
The nth rule of an arithmetic sequence is expressed according to the equation below;
Tn = a+(n-1)d
where
a is the first term = 10
d is the common difference = -10-10 = -20
Substitute
Tn = 10 + (n-1)(-20)
Tn = 10+(-20n+20)
Tn = 10 - 20n +20
tn = -20n + 30
Hence the explicit formula for the arithmetic sequence is -20n + 30
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